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Finding the Fourth Proportional to 2,736.78, 4,104.12 and 981.30

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Solution

The fourth proportional to 2,736.78, 4,104.12 and 981.30 is: 1,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.78 : 4,104.12 = 981.30 : x
  2. Step 2: Convert to fraction form
    2,736.78/4,104.12 = 981.30/x
  3. Step 3: Cross multiply
    2,736.78x = 4,104.12 × 981.30
  4. Step 4: Simplify right side
    2,736.78x = 4,027,372.96
  5. Step 5: Solve for x
    x = 4,027,372.96/2,736.78
  6. Step 6: Final answer
    x = 1,471.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.